A first course in modular forms:
Gespeichert in:
Beteiligte Personen: | , |
---|---|
Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
New York, NY
Springer
2005
|
Schriftenreihe: | Graduate texts in mathematics
228 |
Schlagwörter: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013100320&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013100320&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
Beschreibung: | Includes bibliographical references (p. [433]-436) and index |
Umfang: | XV, 436 S. graph. Darst. 25 cm |
ISBN: | 038723229X |
Internformat
MARC
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245 | 1 | 0 | |a A first course in modular forms |c Fred Diamond ; Jerry Shurman |
264 | 1 | |a New York, NY |b Springer |c 2005 | |
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336 | |b txt |2 rdacontent | ||
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490 | 1 | |a Graduate texts in mathematics |v 228 | |
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650 | 7 | |a Modulaire functies |2 gtt | |
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Datensatz im Suchindex
DE-BY-TUM_call_number | 0102 MAT 103f 2014 A 1981 |
---|---|
DE-BY-TUM_katkey | 1986417 |
DE-BY-TUM_location | 01 |
DE-BY-TUM_media_number | 040080398663 |
_version_ | 1821935205671239680 |
adam_text | Contents
Preface
1
1.1
1.2
1.3
1.4
1.5
2
2.1
2.2
2.3
2.4
2.5
3
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
4 Eisenstein
4.1 Eisenstein
4.2 Eisenstein
4.3
xiv Contents
4.4
4.5 Eisenstein
4.6 Eisenstein
4.7
4.8 Eisenstein
4.9
4.10
4.11
5 Hecke
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
5.9
5.10
5.11 Eisenstein
6
6.1
6.2
6.3
6.4
6.5
6.6
7
7.1
7.2
7.3
7.4
7.5
7.6
7.7
7.8 Isogenies
7.9 Hecke
8
8.1
8.2
8.3
Contents xv
8.4
8.5
8.6
8.7
8.8
9
9.1
9.2
9.3
9.4
9.5
9.6
Hints and Answers to the Exercises
List of Symbols
Index
References
Fred Diamond • Jerry Shurman
A
This book introduces the theory of modular forms with an eye toward the
Modularity Theorem:
All rational elliptic curves arise from modular forms.
The topics covered include
•
•
• Hecke
• Hecke
•
Hecke
•
•
forms.
As it presents these ideas, the book states the Modularity Theorem in various
forms, relating them to each other and touching on their applications to
number theory.
A First Course in Modular Forms is written for beginning graduate students
and advanced undergraduates. It does not require background in algebraic
number theory or algebraic geometry, and it contains exercises throughout.
Fred Diamond received his Ph.D from Princeton University in
direction of Andrew Wiles and now teaches at
Shurman received his Ph.D from Princeton University in
tion of Goro Shimura and now teaches at Reed College.
|
any_adam_object | 1 |
author | Diamond, Fred 1964- Shurman, Jerry Michael 1959- |
author_GND | (DE-588)110035459X (DE-588)173095909 |
author_facet | Diamond, Fred 1964- Shurman, Jerry Michael 1959- |
author_role | aut aut |
author_sort | Diamond, Fred 1964- |
author_variant | f d fd j m s jm jms |
building | Verbundindex |
bvnumber | BV019774225 |
callnumber-first | Q - Science |
callnumber-label | QA243 |
callnumber-raw | QA243 |
callnumber-search | QA243 |
callnumber-sort | QA 3243 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 180 SK 230 SK 240 |
classification_tum | MAT 103f |
ctrlnum | (OCoLC)56615860 (DE-599)BVBBV019774225 |
dewey-full | 512.7/3 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.7/3 |
dewey-search | 512.7/3 |
dewey-sort | 3512.7 13 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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genre_facet | Lehrbuch |
id | DE-604.BV019774225 |
illustrated | Illustrated |
indexdate | 2024-12-20T12:05:34Z |
institution | BVB |
isbn | 038723229X |
language | English |
lccn | 2004058971 |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013100320 |
oclc_num | 56615860 |
open_access_boolean | |
owner | DE-29T DE-355 DE-BY-UBR DE-703 DE-20 DE-83 DE-384 DE-11 DE-188 DE-19 DE-BY-UBM DE-824 DE-91G DE-BY-TUM |
owner_facet | DE-29T DE-355 DE-BY-UBR DE-703 DE-20 DE-83 DE-384 DE-11 DE-188 DE-19 DE-BY-UBM DE-824 DE-91G DE-BY-TUM |
physical | XV, 436 S. graph. Darst. 25 cm |
publishDate | 2005 |
publishDateSearch | 2005 |
publishDateSort | 2005 |
publisher | Springer |
record_format | marc |
series | Graduate texts in mathematics |
series2 | Graduate texts in mathematics |
spellingShingle | Diamond, Fred 1964- Shurman, Jerry Michael 1959- A first course in modular forms Graduate texts in mathematics Formes modulaires Funções e formas modulares larpcal Modulaire functies gtt Teoria dos números larpcal Forms, Modular Algebraische Geometrie (DE-588)4001161-6 gnd Modulform (DE-588)4128299-1 gnd Zahlentheorie (DE-588)4067277-3 gnd |
subject_GND | (DE-588)4001161-6 (DE-588)4128299-1 (DE-588)4067277-3 (DE-588)4123623-3 |
title | A first course in modular forms |
title_auth | A first course in modular forms |
title_exact_search | A first course in modular forms |
title_full | A first course in modular forms Fred Diamond ; Jerry Shurman |
title_fullStr | A first course in modular forms Fred Diamond ; Jerry Shurman |
title_full_unstemmed | A first course in modular forms Fred Diamond ; Jerry Shurman |
title_short | A first course in modular forms |
title_sort | a first course in modular forms |
topic | Formes modulaires Funções e formas modulares larpcal Modulaire functies gtt Teoria dos números larpcal Forms, Modular Algebraische Geometrie (DE-588)4001161-6 gnd Modulform (DE-588)4128299-1 gnd Zahlentheorie (DE-588)4067277-3 gnd |
topic_facet | Formes modulaires Funções e formas modulares Modulaire functies Teoria dos números Forms, Modular Algebraische Geometrie Modulform Zahlentheorie Lehrbuch |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013100320&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013100320&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000000067 |
work_keys_str_mv | AT diamondfred afirstcourseinmodularforms AT shurmanjerrymichael afirstcourseinmodularforms |
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Teilbibliothek Mathematik & Informatik
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0102 MAT 103f 2014 A 1981 Lageplan |
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